Details

sample338.0ms

Algorithm

intervals

Results

55.0ms	234×	body	10240	exit
11.0ms	363×	body	80	nan
9.0ms	230×	body	80	valid
2.0ms	30×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	28	7
2	40	7
3	73	7
4	176	7
5	559	7
6	2626	7
7	5001	7

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 5.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.1b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
6.0b	(- (exp (* 2.0 x)) 1.0)
6.1b	(- (exp x) 1.0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
51×	`times-frac`
31×	`sqrt-prod`
27×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`associate-/r/`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 123

Calls

4 calls:

9.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
10.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0ms	(- (exp (* 2.0 x)) 1.0)
7.0ms	(- (exp x) 1.0)

series201.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
55.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
34.0ms	(- (exp (* 2.0 x)) 1.0)
22.0ms	(- (exp x) 1.0)

simplify123.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	387	1380
1	1054	1314
2	4287	1301
3	5003	1293

prune323.0ms

Filtered

135 candidates to 92 candidates (68.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	131	4	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	4	136

Merged error: 0.0b

Counts

136 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (* 2.0 x)))
0.0b	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.1b	(- (exp x) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
11×	`sqrt-prod` `add-log-exp`
5×	`pow1` `add-cube-cbrt` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube`
3×	`sqrt-pow1` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `exp-prod` `exp-to-pow` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 60

Calls

4 calls:

2.0ms	(sqrt (exp (* 2.0 x)))
6.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
7.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

series125.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (exp (* 2.0 x)))
41.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
48.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms	(- (exp x) 1.0)

simplify121.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	209	434
1	530	405
2	1324	402
3	3833	401
4	5001	401

prune198.0ms

Filtered

72 candidates to 49 candidates (68.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
0.0b	(pow (exp 2.0) (* 1/2 x))
6.1b	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
6.1b	(- (exp x) 1.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`difference-of-squares`
6×	`add-cube-cbrt`
5×	`pow1` `unpow-prod-down` `sqrt-prod`
4×	`add-exp-log` `pow-pow` `add-cbrt-cube`
3×	`exp-prod` `sqr-pow`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `pow-to-exp` `pow-unpow` `flip3-+` `pow-exp` `sum-log` `flip-+`

Counts

4 → 64

Calls

4 calls:

6.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.0ms	(pow (exp 2.0) (* 1/2 x))
7.0ms	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

series137.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
26.0ms	(pow (exp 2.0) (* 1/2 x))
55.0ms	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
14.0ms	(- (exp x) 1.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	284	478
1	804	450
2	2586	443
3	5002	441

prune255.0ms

Filtered

76 candidates to 54 candidates (71.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3))
0.1b	(pow (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3)
6.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.1b	(- (exp x) 1.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`sqrt-prod`
24×	`cbrt-prod`
21×	`difference-of-squares`
18×	`unpow-prod-down` `cube-prod`
11×	`distribute-lft-out--`
10×	`add-cube-cbrt`
8×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3--` `flip--`
3×	`pow-unpow`
2×	`cube-mult` `sub-neg` `cbrt-div` `diff-log` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 104

Calls

4 calls:

8.0ms	(cbrt (pow (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3))
8.0ms	(pow (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3)
10.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

series226.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt (pow (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3))
117.0ms	(pow (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3)
49.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms	(- (exp x) 1.0)

simplify48.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	357	1065
1	1371	995
2	5001	983

prune248.0ms

Filtered

116 candidates to 56 candidates (48.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

regimes26.0ms

Accuracy

81.2% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 3.6b

bsearch41.0ms

Steps

Iters	Range		Point
8	-0.09611003471725453	-2.9779788473919003e-06	-1.4729602789317182e-05

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	6405×	body	10240	exit
383.0ms	12785×	body	80	nan
241.0ms	7286×	body	80	valid
62.0ms	834×	body	160	valid